This paper studies equilibrium in a pure exchange economy with unobservable Markov switching consumption growth regimes and regime-dependent preferences. Variations in risk attitudes have fundamental effects on the structure of equilibrium. Explicit solutions are provided for the market price of...

We model the dynamics of asset prices and associated derivatives by consideration of the dynamics of the conditional probability density process for the value of an asset at some specified time in the future. In the case where the asset is driven by Brownian motion, an associated "master...

Contrary to what traditional asset pricing would imply, a strategy that bets against beta, by going long in low beta stocks and short in high beta stocks, tends to outperform the market. We consider a market in which diversity is maintained, i.e. no single stock can dominate the entire market,...

We construct mean-variance portfolios using a factor model approach. We show the importance of portfolio allocation for large unbalanced equity data sets using the full CRSP database. We compare the performance of our portfolio construction methodology to the 1/N naive diversification strategy,...

We introduce a simulation method for dynamic portfolio valuation and risk management building on machine learning with kernels. We learn the dynamic value process of a portfolio from a finite sample of its cumulative cash flow. The learned value process is given in closed form thanks to a...

We present a general framework for portfolio risk management in discrete time, based on a replicating martingale. This martingale is learned from a finite sample in a supervised setting. The model learns the features necessary for an effective low-dimensional representation, overcoming the curse...